Nonperturbative evaluation of a field correlator appearing in the heavy quarkonium system

Recently an electric and magnetic field correlator appearing in the description of the heavy quarkonium system was evaluated on the lattice. Here, we give a nonperturbative analytical evaluation of this field correlator using a dual description of long distance Yang--Mills theory and using the stochastic vacuum model. The two predictions are both compatible with lattice data but show a different dependence on the quark separation. We discuss the analytic results in relation to the lattice data.

Note:

13 pages, Latex--Elsevier document class 'elsart' Report-no: IFUM 537/FT (August 1996)

quark antiquark: potential
heavy quark
electric field
magnetic field
duality
correlation function
nonperturbative
gauge field theory: Yang-Mills
vacuum state: stochastic
numerical calculations

References(19)

Figures(0)

Confinement of Quarks

Kenneth G. Wilson
(
- Cornell U., LNS
)

- Phys.Rev.D 10 (1974) 2445-2459,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 45-59. ( Phys. Rev. D10 ( 1974) 2445-2459) and Cornell Univ. Ithaca - CLNS-74-262 (74,REC.MAR.) 47p,
•
DOI:
- 10.1103/PhysRevD.10.2445

Spin Dependent Forces in QCD

E. Eichten
(
- Harvard U.
)
,
F. Feinberg
(
- Rutgers U., Piscataway
)

- Phys.Rev.D 23 (1981) 2724
•
DOI:
- 10.1103/PhysRevD.23.2724

B physics on the lattice

Estia Eichten
(
- Fermilab
)

- Nucl.Phys.B Proc.Suppl. 20 (1991) 475-487,
- In *Tallahassee 1990, Proceedings, Lattice 90* 475-487 and Fermilab Batavia - FERMILAB-Conf-90-219 (90,rec.Mar.91) 13 p
•
DOI:
- 10.1016/0920-5632(91)90962-E

Gluon Condensate and Effective Linear Potential

Hans Gunter Dosch
(
- CERN
)

- Phys.Lett.B 190 (1987) 177-181
•
DOI:
- 10.1016/0370-2693(87)90863-X

The Area Law of the Wilson Loop and Vacuum Field Correlators

Hans Gunter Dosch
(
- Heidelberg U.
)
,
Yu.A. Simonov
(
- Moscow, ITEP
)

- Phys.Lett.B 205 (1988) 339-344
•
DOI:
- 10.1016/0370-2693(88)91675-9

Vacuum Background Fields in QCD as a Source of Confinement

Yu.A. Simonov
(
- Moscow, ITEP
)

- Nucl.Phys.B 307 (1988) 512-530
•
DOI:
- 10.1016/0550-3213(88)90262-3

Nonperturbative Dynamics of Heavy Quarkonia

Yu.A. Simonov
(
- Moscow, ITEP
)

- Nucl.Phys.B 324 (1989) 67-90
•
DOI:
- 10.1016/0550-3213(89)90181-8

Heavy quarkonia: Wilson area law, stochastic vacuum model and dual QCD

N. Brambilla
(
- Milan U. and
- INFN, Milan
)
,
A. Vairo
(
- Bologna U.
)

- Phys.Rev.D 55 (1997) 3974-3986
•
e-Print:
- hep-ph/9606344
•
DOI:
- 10.1103/PhysRevD.55.3974

A Consistent derivation of the quark - anti-quark and three quark potentials in a Wilson loop context

N. Brambilla
(
- Milan U. and
- INFN, Milan
)
,
P. Consoli
(
- Milan U. and
- INFN, Milan
)
,
G.M. Prosperi
(
- Milan U. and
- INFN, Milan
)

- Phys.Rev.D 50 (1994) 5878-5892
•
e-Print:
- hep-th/9401051
•
DOI:
- 10.1103/PhysRevD.50.5878

Wilson loops, q anti-q 3 q potentials, Bethe-Salpeter equation

N. Brambilla
(
- Milan U. and
- INFN, Milan
)
,
G.M. Prosperi
(
- Milan U. and
- INFN, Milan
)

- Como Quark Confinement 1994:0113-125,
- In *Como 1994, Proceedings, Quark confinement and the hadron spectrum* 113-125, and Preprint - Prosperi, G.M. (94,rec.Oct.) 13 p
•
e-Print:
- hep-th/9410118